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Finding the Fourth Proportional to 1,702.67, 2,532.02 and 1,684.45

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Solution

The fourth proportional to 1,702.67, 2,532.02 and 1,684.45 is: 2,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.67 : 2,532.02 = 1,684.45 : x
  2. Step 2: Convert to fraction form
    1,702.67/2,532.02 = 1,684.45/x
  3. Step 3: Cross multiply
    1,702.67x = 2,532.02 × 1,684.45
  4. Step 4: Simplify right side
    1,702.67x = 4,265,053.43
  5. Step 5: Solve for x
    x = 4,265,053.43/1,702.67
  6. Step 6: Final answer
    x = 2,504.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.